What does prox mean in Latin?

prox, a interjection, means “by your leave”.

How do you pronounce prox?

In classical Latin, [ˈprɔks]; in ecclesiastical (church) Latin, [ˈprɔks].

interjection

Classical[ˈprɔks]Ecclesiastical[ˈprɔks]

by your leave
Itaque dum enitor, prox, iam paene inquinavi pallium.c. 191 BCE, Plautus, Pseudolus 5.1.38
Prox bona vox, ut aestimo, quasi proba vox.[…]Prox, bona vox, velut quidam praesignificare videtur, ut ait Labeo de iure pontificio L. XI.[2nd century CE, Sextus Pompeius Festus, edited by Karl Otfried Müller, De Significatione Verborum, published 1839, page 252, line 2; epitomized by Paul the Deacon, 8th c.:

prox (bona vox, Fest. p. 253 Müll.; cf.: prox, bona vox, ut aestimo, quasi proba vox, Paul. ex Fest. p. 252 Müll.), interj.,

I. by your leave, Plaut. Ps. 5, 1, 33 Fleck.

Perhaps related to prex.